Atkin-Lehner |
2- 3- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042bo |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-72625939110144 = -1 · 28 · 311 · 74 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8437,279195] |
[a1,a2,a3,a4,a6] |
Generators |
[5:564:1] |
Generators of the group modulo torsion |
j |
91118925134999/99624059136 |
j-invariant |
L |
10.736446263681 |
L(r)(E,1)/r! |
Ω |
0.40792213279779 |
Real period |
R |
0.20562376901398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28014a1 |
Quadratic twists by: -3 |